Question

solve log(x+9) -logx = 3
I know the - is division so, x/ (x+9)

Answer 1

base ten right?

Answer 2

Yeah I thinks so

Answer 3

\(\large\color{black}{ \displaystyle \log(x+9) -\log x = 3 }\)


\(\large\color{black}{ \displaystyle \log\left(\frac{x+9}{ x}\right) = 3 }\)


Yes, that is right

Answer 4

\(\large\color{black}{ \displaystyle \log_{10}\left(\frac{x+9}{ x}\right) = 3\quad \Rightarrow \quad \left(\frac{x+9}{ x}\right)=10^3}\)

Answer 5

And 10^3 is 1000

Answer 6

yes

Answer 7

So what do I do next?

Answer 8

\(\large\color{black}{ \displaystyle \frac{x+9}{ x}=1000 }\)

solve for x.

Answer 9

Just using algebra, you can solve for x easily.

Answer 10

1000/9 = 111.111 so its just 111?

Answer 11

no

Answer 12

?